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SCIENTIFIC NOTATION: Abbreviating numbers. What is an EXPONENT?  A SUPERSCRIPT after “x 10” or “E”SUPER  Ex: “x 10 5” or “E5”  Denotes how many powers.

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Presentation on theme: "SCIENTIFIC NOTATION: Abbreviating numbers. What is an EXPONENT?  A SUPERSCRIPT after “x 10” or “E”SUPER  Ex: “x 10 5” or “E5”  Denotes how many powers."— Presentation transcript:

1 SCIENTIFIC NOTATION: Abbreviating numbers

2 What is an EXPONENT?  A SUPERSCRIPT after “x 10” or “E”SUPER  Ex: “x 10 5” or “E5”  Denotes how many powers of ten  10 5 = 10 x 10 x 10 x 10 x 10  Answer is a 1 followed by zeros (defined by the exponent) 100,000

3 BIG NUMBERS Positive Exponents 5,987,774,231,541

4 Numbers smaller than 1 Negative Exponents

5 MOVE THE DECIMAL TO THE RIGHT Moving the decimal (+)

6 MOVE THE DECIMAL TO THE LEFT Moving the Decimal (-)

7 PRACTICE: x x x x x E -4 = = 19.4 = 7.69 = = =

8 Converting to Scientific Notation 1.FIND THE DECIMAL 2.MOVE THE DECIMAL SO THE BASE NUMBER IS LESS THAN 10, GREATER THAN 1 BASE NUMBER 3.COUNT THE NUMBER OF JUMPS

9 4. ROUND ANSWERS SO THEY HAVE THREE (3) DIGITS STARTING FROM THE LEFT 5. ADD “ X 10” (or E) 6. THE NUMBER OF JUMPS IS YOUR EXPONENT! Cont.

10 PRACTICE: = 5.64 x 10 4 = 1.23 x 10 2 = 7.18 x 10 5 = 6.13 x 10 3

11 NEGATIVE EXPONENTS If your number is less than 1 you will have a negative exponent!

12 PRACTICE: = 1.84 x10 -2 = 5.67 x10 -4 = 6.00 x10 -2 = 5.79 x10 -4

13 Three Number Rule o If there are not enough numbers add zeros o If there are too many numbers round

14 Rounding  START FROM THE LEFT AND COUNT THE FIRST 3 NUMBERS  IF THE FOURTH NUMBER IS A 5 OR ABOVE ROUND UP!  DROP UNNECESSARY NUMBERS

15 PRACTICE: Put the problem in Sci. Not. 1 st :Round =2.38 x 10 4 =1.15 x =4.69 x 10 5 =1.00 x 10 0 =2.10 x 10 6 =2.00 x 10 -6

16 SCIENTIFIC NOTATION PRACTICE Convert the following to normal notation: x x x E7 Convert the following to SCIENTIFIC notation (ROUND TO 3 DIGITS): Round to 3 DIGITS (you have to put them in sci. not. first!)

17 Prefixes: Super-  Above  Ex: X 2 Sub-  Below  Ex: X 2

18 Exponent Rule! DECIMAL MOVES  EXPONENT becomes MORE POSITIVE (+1) DECIMAL MOVES  EXPONENT becomes MORE NEGATIVE (-1) x x x 10 -3


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